Answer:
45degrees
Step-by-step explanation:
The measure of angle WTV is 50°. The measure of angle STW is 95°. The measure of angle STV is x°. Find the value of x.
The expression is true for the angles
<STW = <WTV + <STV
<STV = <STW-<WTV
<STV = 95 - 50
<STV = 45degrees
Hence the measure of <STV is 45degrees
Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
Answer:
C. Draw slips of paper with names of residents out of a large box.
Step-by-step explanation:
c is the only one where the results are truly random
sorry don't really know how to explain it rather than looking at the definition
Answer:

Step-by-step explanation:
Probability is found by dividing the number of favorable outcomes by the total number of outcomes.

For this problem, the favorable outcome is selecting a blue or green marble. There are 8 outcomes for this because there are 6 outcomes for blue and 2 fr green.
The total outcomes are all the marbles. Each marble could be an outcome, so there are 13 outcomes (1 for each marble).

This fraction cannot be reduced, so the probability of selecting a blue or green marble is <u>8/13.</u>
Answer: B
Step-by-step explanation: